Uniform asymptotic stability of a fractional tuberculosis model

Weronika Wojtak; Cristiana J. Silva; Delfim F. M. Torres

doi:10.1051/mmnp/2018015

Uniform asymptotic stability of a fractional tuberculosis model

Optimization and Control 2018-04-10 v1 Classical Analysis and ODEs Dynamical Systems Populations and Evolution

Authors: Weronika Wojtak , Cristiana J. Silva , Delfim F. M. Torres

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Abstract

We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for any $\alpha \in (0, 1)$ . Numerical simulations for the stability of the endemic equilibrium are provided.

Keywords

fractional-order model tuberculosis caputo derivative endemic equilibrium uniform asymptotic stability numerical simulation

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@article{arxiv.1801.07059,
  title  = {Uniform asymptotic stability of a fractional tuberculosis model},
  author = {Weronika Wojtak and Cristiana J. Silva and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1801.07059},
  year   = {2018}
}

Comments

This is a preprint of a paper whose final and definite form is with Math. Model. Nat. Phenom., ISSN: 0973-5348, available at http://dx.doi.org/10.1051/mmnp/2018015 . Paper Submitted 12-08-2017; Revised 19-01-2018; Accepted 22-01-2018

Uniform asymptotic stability of a fractional tuberculosis model

Abstract

Keywords

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